Mega movies hosted a film premiere on friday night. they charged $9 for adults and $6 for children. one hundred fifty-eight adults and children attended, and $1,389 was made in ticket sales. how many children and how many adults went to the film premiere? a: 15children and 143 adults b: 5 children and 153 adults c: 8 children and 150 adults or d: 11 children and 147 adults.

147 adults and 11 children

Step-by-step explanation:

let x = the amount of adults

let y = the number of children

thus x + y = 158 total people who attend the movie

each adult cost $9 and each child costs $6  for a total cost of $1389 so

9x + 6y =1389

first lets solve for y so that we can use the substitution method..

x+y=158

to solve for y you must subtract x from both sides

x+y-x=158-x

y=158-x

now Let's use the substitution method

9x + 6(158-x)= 1389

9x  + 6(158) + 6(-x) = 1389

9x+ 948 - 6x = 1389

3x+ 948= 1389

3x +948 - 948 = 1389 - 948

3x = 441

x = 147

back to the original equation of x + y = 158

147 + y = 158

147-147+y=158-147

y = 11

and finally

9(147) + 6(11) = 1389

1323 +66 = 1389

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.